(a) The hyperbolic sine function is defined as follows: e² – e- sinh = Why would we get a loss-of-significance error when evaluating sinh x for r close to 0? (b) Use 3rd degree Taylor polynomials with remainder to rewrite sinh x in a way where we would not get a loss-of-significance error. (c) Bound the error in the approximation on the interval –1 SIS1.

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